10728585 has 32 divisors (see below), whose sum is σ = 21799680. Its totient is φ = 4904064.

The previous prime is 10728577. The next prime is 10728587. The reversal of 10728585 is 58582701.

10728585 is a `hidden beast` number, since 1 + 0 + 72 + 8 + 585 = 666.

It is not a de Polignac number, because 10728585 - 2³ = 10728577 is a prime.

It is a super-2 number, since 2×10728585² = 230205072204450, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10728587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4732 + ... + 6621.

It is an arithmetic number, because the mean of its divisors is an integer number (681240).

Almost surely, 2^10728585 is an apocalyptic number.

10728585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10728585 is an abundant number, since it is smaller than the sum of its proper divisors (11071095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10728585 is a wasteful number, since it uses less digits than its factorization.

10728585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11374 (or 11368 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 10728585 is about 3275.4518772224. The cubic root of 10728585 is about 220.5535988911.

The spelling of 10728585 in words is "ten million, seven hundred twenty-eight thousand, five hundred eighty-five".